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The product of the expression assuming x greater-than-or-equal-to 0 is; (30x√30).

The product of the expression assuming the fact that x greater-than-or-equal-to 0 can be evaluated as follows;

(√(3x) × √5) (√15x × 2√30)

(√15x × 2√450x)

(2√6,750x²)

(30x√30)

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              - - - - - - - - - - - - - - - - - - - - -- - - - - - - - - - - - - - - - - -

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]

           What is the product of (x-3) and (x+7)?

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]

          First multiply the x's:-

x•x=x²

Now multiply x times 7:-

7x

So we have

x²+7x

Now multiply -3 times x:-

-3x

So we have

x²+7x-3x

Now multiply 7 and -3:-

x²+7x-3x-21

On simplification,

x²+4x-21

            - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Answer:

BC = 5.87

Step-by-step explanation:

To find the last angle:

180° - 50° - 90° = 40°

Once we know that, we can use our given side angle pair to figure out the length.

[tex]\frac{7}{sin(50)}[/tex] * [tex]\frac{?}{sin(40)}[/tex] -> [tex]\frac{7*sin(40)}{sin(50)}[/tex]= ?

Then we plug into a calculator to get: 5.87

Answer:

5.87

Step-by-step explanation:

Concepts

The three different trigonometric functions are sine, cosine, and tangent. They can be memorized as the mnemonic SOHCAHTOA, where:

The hypotenuse will always stay the same, but depending on the highlighted angle, the opposite and adjacent side can change.

Application

In this case, we're asked to find the length of BC. We're given the length of the opposite side as 7 units. The adjacent side to m∠50° is BC. Since we're dealing with opposite and adjacent, we're going to be using tangent.

Solution (Calculator Needed)

The equation that can pair with x + 2y = 5 to generate an inconsistent system is given by:

2x + 4y = 3.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

A inconsistent system is a system that has no solution, that is, when the coefficients of x and y are multiplies, but the result is not. Hence, the option that gives an inconsistent system is given by:

2x + 4y = 3.

As when we try to solve the system, we would end up with the following situation:

[tex]0x = c, c \neq 0[/tex].

Which is impossible.

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The domain of the function is D: x ∈ (-3, 7) here the points -3 and 7 are excluded from the domain.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

As we can see in the picture, a graph is shown.

The hollow points denote that at x = -3 and x = 7 the function value is not defined, that's why these points should be excluded from the domain of the functions.

The domain of the function:

D: x ∈ (-3, 7)

Thus, the domain of the function is D: x ∈ (-3, 7) here the points -3 and 7 are excluded from the domain.

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It can be estimated that the total amount of water that Mr. Thando used is 40 Kiloliters. See the arithmetic calculation/ explanation below and the reconstructed table attached.

The approximate amount of water that he has been charged for will be given as follows:

The maximum fee for Band A + Maximum fee for Band B + Maximum fee for Band C.

Which is: (0) + (6.36 *14) + (7.98*20) = R248.64

Recall that the total amount he was charged is R281.27.

Hence, because the question does not include the percentage of VAT payable, and the referenced table is unavailable, we are forced to assume that the difference between the amount paid and our calculations above is the VAT.

This figure (that VAT)  is: R281.27 - R248.64 = R32.63

Hence, the total amount of water used by Mr. Thando is: 6 + 14 + 20 = 40Kl

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Answer:
1) 25
2) 61
3) 20
4) 25
5) 65.46

Explanation:

1) Use the formula " (n-2)180. N = the number of sides.
(25-2)180 = 4140

2) The sum of the polygon is 900.
(7-2)180 = 900
Add up all the numbers and variables then equal them to 900.

3) To find an interior of an 18-gon is the use of this formula:
(n-2)180 = Sum of the polygon
Sum / n

(18-2)180 = 2880
2880 / 18 = 160
180 - 160 = 20 ; Because they are supplementary.

4) (25-2)180 = 4140
4140 / 25 = 165.6

5) Copy the formula for explanation #3. But instead of an 18-gon, do 11-gon.  

Answer:

y=1, x=3   or (3,1)

Step-by-step explanation:

when you add the two equations together the two x's cancel out, which leaves one solvable equation, 7y=7, so y=1, then you can plug y=1 into one of the equations. 2x+3(1)=9 which is 2x+3=9 then solve, x=3.

Additionally if you want to check answers plug both into one equation- -2(3)+4(1)=-2, -6+4=-2, -2=-2 which is correct.

The solution for the given linear system from the elimination method is x=3 and y=1.

System of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.

You can solve a linear system by the adding or substitution methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.

-2x+4y=-2 (1)

2x+3y=9   (2)

You should sum the equations 1 and 2, for eliminate the variable x.

-2x+4y+2x+3y=-2+9

7y=7

y=1

If y=1 from equation 2, you have:

2x+3*1=9

2x+3=9

2x=9-3

2x=6

x=3

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Answer:

pi/2

Step-by-step explanation:

We know that,

Length of arc=r*(theta) where r=radius and theta is angle

Given- unit circle, it means  circle have raduis=1

       Theta=90° or (pi/2)

Hence,

Length of arc is = 1*(pi/2)

                            = pi/2

Hence option two is correct

Answer:

Determine the equation of the circle.

Equation of a circle

[tex](x-a)^2+(y-b)^2=r^2[/tex]

(where (a, b) is the center and r is the radius)

Given:

Substitute the given values into the formula to determine the equation of the circle:

[tex]\implies (x-0)^2+(y-0)^2=7^2[/tex]

[tex]\implies x^2+y^2=49[/tex]

Given point:  [tex](-3,2\sqrt{10})[/tex]

Input the x and y values of the given point into the derived circle equation.  If it equals 49, then the point is on the circle:

[tex]\implies (-3)^2+(2 \sqrt{10})^2=9+40=49[/tex]

Therefore, the given point is on the circle centered at the origin with a diameter of 14 units.

Answer:

a=3/5 , b=4/5. ,.

c=5/5

c=5/5

=1

Answer:

obtuse

Step-by-step explanation:

A triangle with sides of 3,4and6 is NOT a Right triangle.

Answer:

∠APB = 106°

Step-by-step explanation:

Method 1: Focus on Triangle APB

Every angle of equilateral triangle ABC is 60°

∠BAP = 60°

∠ABP = 60° - 46° = 14°

Total degrees in one triangle is 180°

∠APB = 180° - 60° - 14° = 106°

Method 2: Exterior Angle Theorm

∠APB = ∠PBC + ∠PCB

∠APB = 46° + 60°

∠APB = 106°

the answer is 48 square 72

Step-by-step explanation:

72+46=48square and 48square x 0

Answer:

14 gm

Step-by-step explanation:

34 minutes is TWO half lives   1/2 * 1/2 = 1/4   will be left

   1/4 * 56 = 14 gm

Answer:

∅ = 5 radians

Step-by-step explanation:

[tex]Arc.Length=2\pi r(\frac{Ctrl.Angle}{360} )[/tex]

[tex]Ctrl.Angle=\frac{360(Arc.length)}{2\pi r}[/tex]

∅ [tex]=\frac{(360)(15)}{2\pi (3)}[/tex]

∅ = 286.48°

In radians:

∅ = (286.48)(3.1416)/180 = 5 radians

Hope this helps

Answer:

the answer is exponential

Step-by-step explanation:

Answer:

Hi! My guess would be exponential.

Step-by-step explanation:

stay safe, and I hope I helped I apologize if I am wrong, good luck friends

Here we go ~

It's been given that :

[tex]\qquad \sf  \dashrightarrow \: \vec{v} = - \vec{u}[/tex]

And magnitude of vector u is 6 units and with a direction 330°

And we are asked to find the magnitude and direction of vector v ~

So, let's get stated ~

As we can observe, vector v and vector u have equal magnitude because they have equal sign between them.

that is :

[tex]\qquad \sf  \dashrightarrow \: | \vec{v} | = | \vec{u}| [/tex]

[tex]\qquad \sf  \dashrightarrow \: | \vec{v}| = 6 \: units[/tex]

And the negative sign in the equation shows that the two vector have opposite directions or you can say they are anti-paralllel.

So, we can just rotate vector u by 180° to get vector v ~

[tex]\qquad \sf  \dashrightarrow \: \hat{n} = 330 \degree - 180 \degree[/tex]

[tex]\qquad \sf  \dashrightarrow \: \hat{n} = 150 \degree[/tex]

Conclusion :

Using the z-distribution, considering the given data, the lower limit of the 98% confidence interval is of 0.5534.

The confidence interval is:

[tex]p - zs[/tex]

In which:

In this problem, the parameters are given as follows:

p = 0.6, z = 2.33, s = 0.02.

Hence, the lower limit of the 98% confidence interval is:

p - zs = 0.6 - 2.33 x 0.02 = 0.5534.

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The given expression [tex]3 \dfrac{6}{5}[/tex]  can be written as [tex]\sqrt[5]{3^6}[/tex].

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The given value can be written as:-

[tex]3\dfrac{6}{5} = \sqrt[5]{3^6}[/tex]

Therefore the given expression [tex]3 \dfrac{6}{5}[/tex]  can be written as [tex]\sqrt[5]{3^6}[/tex].

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Answer:

answer should be 4.3

Step-by-step explanation:

8.9^(2)-7.8^(2)

=18.37

\sqrt(18.37)

=4.28602379

and round to the nearest tenths should give you 4.3

The balance of the account after the eighth deposit will be $36857 if an account that earns 4% interest, compounded annually.

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

P = 4000, r = 4% = 0.04 and an additional $4,000 into the account each year thereafter.

The balance of the account after the eighth deposit;

[tex]A = \rm 4000\times \dfrac{1\times (1+0.04)^8}{1-(1+0.04)}[/tex]

A = 36856.90 ≈ $36857

Thus, the balance of the account after the eighth deposit will be $36857 if an account that earns 4% interest, compounded annually.

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Step-by-step explanation:

(6+r)^2 = 81 + r^2

36 + 12r+ r^2 = 81 + r^2

12r = 81-36 = 45

r = 15/4 = 3.75

Answer:

68 cubic feet

Step-by-step explanation:

Split the object into 2 so you have 2 squares. Now do 2x4x6=48cbft. Then do 5x2x2=20cbft. Then just add them together! 48+20=68!

Hope this helps! ;-)

Answer:

x ≥ - 1

Step-by-step explanation:

the solid circle above - 1 on the number line indicates that x can equal - 1

the arrow points right indicating x is greater than or equal to - 1 , that is

x ≥ - 1

Answer:

18.33%.

Step-by-step explanation:

The total number of cars is 60

what you want is the red number (11)

You set up what you want over what you have and end up with:

11/60

turn this into decimal and you get 0.183

to turn into percent multiply by a 100

You end up with 18.33%

Answer:

18.3%

Explanation:

Red = 11, silver = 24, gray = 16 black = 9

[tex]\sf probability = \dfrac{favorable \ outcomes}{total \ possible \ outcomes}[/tex]

[tex]\rightarrow \sf \dfrac{11}{60} \ x \ 100[/tex]

[tex]\rightarrow \sf 18.3 \%[/tex]

Answer:

It's not possible to get 16 from 1 divided by 4 alone. It will always be 0.25